Math, asked by swethacatty, 1 year ago

find euclid division lemma for 1000 and 56

Answers

Answered by barellmirror
4

Answer:

Step-by-step explanation:

given numbers are 1000 and 56.

BY EUCLIDS DIVISON LEMMA

        given two positive integers a and b there exists a unique integer q and r satisfying a = bq + r.  0 is greater than or equal to r and greater than b.

                           A = BQ + R

let a = 1000 and b = 56

by euclids division lemma

1000 =  56 ×17 + 48

since the remainder is not zero we continue the process

now a = 56 and b = 48

56 =  48 × 1 + 8

since the remainder is not zero again we cotinue the process

now a = 48 and b =8

48= 8× 6 + 0

since here the reminder is zero we stop the process

the divisior in the last step is the hcf of two numbers

THE HCF OF TWO NUMBERS IS 6.

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Answered by hh60
0

Answer:

6 is the HCF

Step-by-step explanation:

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